Question

Use the functions below.

f(x)=−x+3

g(x)=2x+1


What is (g∘f)(−1)
?

Enter the missing value.

(1 point)
(g∘f)(−1)=

Answer 1

To find \((g \circ f)(-1)\), we first need to compute \(f(-1)\) and then use that result to find \(g(f(-1))\).

1. Calculate \(f(-1)\):

\[
f(x) = -x + 3
\]

Substituting \(-1\) for \(x\):

\[
f(-1) = -(-1) + 3 = 1 + 3 = 4
\]

2. Next, we need to calculate \(g(f(-1)) = g(4)\):

\[
g(x) = 2x + 1
\]

Substituting \(4\) for \(x\):

\[
g(4) = 2(4) + 1 = 8 + 1 = 9
\]

So, \((g \circ f)(-1) = g(f(-1)) = g(4) = 9\).

Thus, the answer is:

\[
(g \circ f)(-1) = 9
\]